Least Common Multiple of 972/92, 152/4571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/92, 152/4571 quickly i.e. 36936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/92, 152/4571 is 36936.

LCM(972/92, 152/4571) = 36936

LCM of 972/92, 152/4571

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 972/92,152/4571

Given numbers are 972/92,152/4571

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 972,152

Least Common Multiple of Numerators i.e. LCM of 972,152 is 36936.

GCF of Denominators means GCF of 92,4571 as per the given fractions.

GCF of 92,4571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,152

LCM of Fractions 972/92,152/4571 is 36936

2 972, 152
2 486, 76
243, 38

∴ So the LCM of the given numbers is 2 x 2 x 243 x 38 = 36936

Least Common Multiple of 972,152 with GCF Formula

Least Common Multiple of 972,152 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 972,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,152) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(972,152) x common factors =4 x 1 = 4

LCM(972,152) = ( 972 × 152 ) / 4

LCM(972,152) = 147744 / 4

LCM(972,152) = 36936


Lets's calculate GCF of 92,4571

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36936/1

Therefore the LCM of Fractions 972/92,152/4571 is 36936

Greatest Common Factor of 92,4571 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,4571 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 4571

List of positive integer factors of 4571 that divides 4571 without a remainder.

1,7,653,4571

Greatest Common Factor

We found the factors 92,4571 . The biggest common factor number is the GCF number.
So the greatest common factor 92,4571 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 972/92, 152/4571

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 972/92, 152/4571?

Answer: LCM of Numerators as per given numbers 972/92, 152/4571 is

LCM of Numerators i.e. for 972,152 is 36936

GCF of denominators i.e. for 92,4571 is 1.

Thus, LCM of Fractions is 36936.Finally, LCM of Fractions for 972/92, 152/4571 is 36936.